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1. Kinetic energy of electron gas. Show that the kinetic energy of a three-dimensional
gas of N free electrons at 0 K is
U, =Nep .

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1. Cohesive energy of bcc and fcc neon. Using the Lennard-Jones potetial, calculate the ratio of the cohesive energies of neon in the bcc and fcc structures (Ans. 0.958). The lattice sums for the bcc structures are Σ;pi12 = 9.11418; Σ;pij6 = 12.2533
5. Calculate the mean, RMS, and most probable speeds for: 1) hydrogen molecule at temperatures of 100 K, 1000 K and 10,000 K and 2) xenon atom at temperatures of l100 K, 1000 K and 10,000 K. Assume the velocity distribution is a Maxwell-Boltzmann distribution for both.
G.g
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